Barney & Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases

1. How much would a member pay per year if he bought $50 worth of items each year?

2. Write a slope-intercept equation that expresses how much a member pays per year using x to represent his purchases per year

3. How much would a member have to spend per year to pay off his membership fee?

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sqdancefan sqdancefan · Answer 1 · 2019-02-03T02:11:53+01:00

Answer:

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

$45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

0.1x = 25 . . . . . . . . subtract 0.9x

25/0.1 = x = 250 . . . divide by 0.1